I wouldn't, for all the reasons above.
with out a line or deck rail to hang it on for a few days, you could try putting it a dryer, fluff only, no heat, along with a clean wet towel. It will probably take several times with a clean damp towel but it will eventually take the smell out.
Or you could fold loosely and sprinkle a full box of baking soda all through it then bag or box tightly. shake the box ever so often. It will probably make it so you can work on it, then a proper wash when you've gotten it quilted. Good luck!